How do you write these in scientific notation?

5,700,000,000
0.000000059

5.7x10^9

5.9x10^-8

To write a number in scientific notation, you need to express it as a product of a number between 1 and 10, and a power of 10.

Let's start with the first number, 5,700,000,000.

Step 1: Determine the decimal point's location.
To do this, count the number of digits from the rightmost non-zero digit to the leftmost digit. In this case, the count is 10 since there are 10 digits in 5,700,000,000.

Step 2: Write the number in the form of a decimal less than 10.
To achieve this, divide the original number by a power of 10 that moves the decimal point to the rightmost non-zero digit. In this case, we can divide 5,700,000,000 by 10^10, which would move the decimal point 10 places to the left.

5,700,000,000 / 10^10 = 0.57

Step 3: Express it as a product of the decimal and a power of 10.
Since we moved the decimal point 10 places to the left, we multiply our decimal value by 10^10 to compensate for that.

0.57 × 10^10

Thus, 5,700,000,000 written in scientific notation is 0.57 × 10^10.

Now let's move on to the second number, 0.000000059.

Step 1: Determine the decimal point's location.
Count the number of zeros after the decimal point. In this case, there are 7 zeros.

Step 2: Write the number in the form of a decimal greater than or equal to 1 but less than 10.
To achieve this, move the decimal point to the right so that there is only one non-zero digit to the left of the decimal point. In this case, we would move the decimal point 7 places to the right.

0.000000059 × 10^7

Therefore, 0.000000059 written in scientific notation is 5.9 × 10^-8.